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Finding the Fourth Proportional to 13,459.96, 20,193.14 and 4,225.96

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Solution

The fourth proportional to 13,459.96, 20,193.14 and 4,225.96 is: 6,339.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.96 : 20,193.14 = 4,225.96 : x
  2. Step 2: Convert to fraction form
    13,459.96/20,193.14 = 4,225.96/x
  3. Step 3: Cross multiply
    13,459.96x = 20,193.14 × 4,225.96
  4. Step 4: Simplify right side
    13,459.96x = 85,335,401.91
  5. Step 5: Solve for x
    x = 85,335,401.91/13,459.96
  6. Step 6: Final answer
    x = 6,339.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.